Question

incorrect
your answer is incorrect.
find the distance between the points a and b given below.
(that is, find the length of the segment connecting a and b.)
round your answer to the nearest hundredth.
4.24 units

Explanation:

Step1: Identify coordinates of A and B

Let the bottom-left corner be (0,0). Point A is at (2,10), Point B is at (5,8).

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Substitute $x_1=2,y_1=10,x_2=5,y_2=8$:
$d=\sqrt{(5-2)^2+(8-10)^2}$

Step3: Calculate inside the square root

$\sqrt{3^2+(-2)^2}=\sqrt{9+4}=\sqrt{13}$

Step4: Compute decimal and round

$\sqrt{13}\approx3.6055$, rounded to nearest hundredth is 3.61.

Answer:

3.61 units